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Proof step 4 from proof product-pot-rec (previous step)

∀ i. i ∈ ints0 → Π ints0 = i ^ n→i(#oc(i, ints0)) * Π(ints0 -l i) ⊦ i0 * Π ints0 = i ^ (n→i(#oc(i, i0 ')) + n→i(#oc(i, ints0))) * Π((i0 ' + ints0) -l i), i ≠ i0 ∧ ¬ i ∈ ints0

User applied rule cut formula

And obtained the following new goals

Proof step 5:
i = i0, ∀ i. i ∈ ints0 → Π ints0 = i ^ n→i(#oc(i, ints0)) * Π(ints0 -l i) ⊦ i0 * Π ints0 = i ^ (n→i(#oc(i, i0 ')) + n→i(#oc(i, ints0))) * Π((i0 ' + ints0) -l i), i ≠ i0 ∧ ¬ i ∈ ints0
Proof step 10:
∀ i. i ∈ ints0 → Π ints0 = i ^ n→i(#oc(i, ints0)) * Π(ints0 -l i) ⊦ i = i0, i0 * Π ints0 = i ^ (n→i(#oc(i, i0 ')) + n→i(#oc(i, ints0))) * Π((i0 ' + ints0) -l i), i ≠ i0 ∧ ¬ i ∈ ints0

Rule argument

fma: i = i0

Additional information

Used formulas: i = i0